Car Rental services suffered through first two years of Covid and even before that developed a reputation of "screwing" people who did not take out their full insurance. They've learned since and like Mucker Man and Callybags play car rental roulette i.e enquire online as far away from your arrival date as you can. The rental firms want your business now and if you can ignore their interim offers, likely you'll get cheapest rental days before you are due to arrive.
Watch out for flash car rental sales too. These may not be included in your "roulette" situation so keep a close eye from about six weeks before you travel. Usually, in flash sales full insurance is included. We paid €600 for a five week car rental in starting late February which included full insurance. One thing to remember if you hit a dog/cat with your rented car the "full" insurance doesn't cover the damage. If you hit a fox, badger or other wildlife you are fully covered.